| Principal Quasi-Baerness of Skew Power Series Rings |
| Received:January 17, 2003 |
| Key Words:
weakly rigid endomorphism p.q.Baer ring skew power series ring.
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| Fund Project:National Natural Science Foundation of China (10171082), TRAPOYT, the Cultivation Fundof the Key Scientific and Technical Innovation Project, Ministry of Education of China |
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| Abstract: |
| Let R be a ring such that all left semicentral idempotents axe central and α a weakly rigid endomorphism of R. It is shown that the skew power series ring R[[x; α]] is right p.q.Baer if and only if R is right p.q.Baer and any countable family of idempotents in R has a generalized join in I(R), where I(R) is the set of all idempotents of R. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2005.02.002 |
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